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3 years ago

Quick help please!

1 answer:

4 0

Congruent triangles are all the same. Given that the faces of a triangular pyramid are congruent then all its faces are the same. It is also good to note that this pyramid has 4 faces. Given that the surface area of the pyramid is 372m^2, the area of one face will be:
area=(total area)/(number of faces)
=372/4
=93 m^2

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A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran

mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

$X=48$ number of vehicles classified as sports utility.

$n=500$ random sample taken

$\hat p=\frac{48}{500}=0.096$ estimated proportion of vehicles classified as sports utility vehicles.

$p$ true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.5=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070$

$0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121$

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0

2 years ago

Mr. Quentin asks his students to describe a circle. Which description can be used as a mathematical definition of a circle? the

mr_godi [17]

Answer:

D. The set that all points in a plane equidistant from a common point.

Step-by-step explanation:

8 0

2 years ago

What is 4 x312 but in distributive property

eduard

Answer:

4 times 312 = 1,248 = 312 times 4 = 1,248

Hope this helps, sorry if it didn't.

3 0

2 years ago

Can someone pls help for brainlest

trapecia [35]

Answer:

The area of the shaded region= 37.68

Step-by-step explanation:

Area of the outer circle= 2* 3.14* 36 (Area of the circle=2 $\pi$ r)

=113.04

Area of the inner circle=2*3.14* 12

=75.36

Area of the shaded region= Area of the outer circle- Area of the inner circle

= 113.04- 75.36

=37.68

5 0

2 years ago

Write an equation for this model and solve for x.<br> х = 3<br> x = -3<br> x = 4<br> x = -4

Ahat [919]

Answer:

Step-by-step explanation:

4 0

2 years ago